Electron spins in semiconductor quantum dots are a promising medium for implementing
scalable quantum information processing. A major challenge with these quantum
bits (qubits) is being able to coherently exchange information between them over long
distances. Here, I examine the physics of a resonant exchange qubit and transmission
line resonators in order to determine the properties of the resonant exchange qubit in
a circuit quantum electrodynamics architecture which could facilitate long-range spin
interactions. I find that a 1 MHz coupling rate between the qubit and the resonator
is feasible. Lastly, I examine mechanisms that could limit resonator quality factors in
a quantum dot circuit quantum electroynamics and develop on-chip low pass filters
which block microwave leakage from the resonator to the gates which provide the
confinement potential of the quantum dots.